We present telescoping recursive representations for both continuous and discrete indexed noncausal Gauss-Markov random fields. Our recursions start at the boundary (for example, a hypersurface in R, d ≥ 1) and telescope inwards. Under appropriate conditions, the recursions for the random field are differential/difference representations driven by white noise, for which we can use standard recu...

The main characteristics of the numerical methods for dynamic response analysis of single degree of freedom (SDOF) system in both frequency-domain and time-domain are briefly reviewed in this paper. Based on the uniform recursive formula, four methods (Central difference method, Newmark’s method, Ztransform method and Duhamel’s step integral method) are systematically studied. The advantages, d...

periodic noises are unwished and spurious signals that create repetitive pattern on images and decreased the visual quality. firstly, this paper investigates various methods for reducing the effects of the periodic noise in digital images. then an adaptive optimum notch filter is proposed. in the proposed method, the regions of noise frequencies are determined by analyzing the spectral of noisy...

The paper presents a new half-cycle adaptive phasor estimation algorithm for digital protective relaying. The algorithm is immune to an exponentially decaying dc component regardless of its initial magnitude and time constant. The algorithm is intended for current signals and improves both the magnitude and impedance measurements. The new measuring technique is based on the recursive half-cycle...

This paper presents an approach for implementing continuous-time adaptive recursive filters. The resulting filters should be capable of operating on much higher signal frequencies than their digital counterparts since no sampling is required. With respect to implementation problems, the effects of DC offsets is investigated and formulae derived so that these effects can be estimated and reduced...